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Finding the Fourth Proportional to 1,466.74, 2,026.21 and 1,171.62

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Solution

The fourth proportional to 1,466.74, 2,026.21 and 1,171.62 is: 1,618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.74 : 2,026.21 = 1,171.62 : x
  2. Step 2: Convert to fraction form
    1,466.74/2,026.21 = 1,171.62/x
  3. Step 3: Cross multiply
    1,466.74x = 2,026.21 × 1,171.62
  4. Step 4: Simplify right side
    1,466.74x = 2,373,948.16
  5. Step 5: Solve for x
    x = 2,373,948.16/1,466.74
  6. Step 6: Final answer
    x = 1,618.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.